What is the slope of 2y=-17y+13x+232y=17y+13x+23?

1 Answer
Apr 5, 2018

m=13/19m=1319

Explanation:

When you write the equation in slope intercept form, the slope will be the coefficient of xx.

Slope intercept equation:

y=mx+by=mx+b
where m=m= the slope

We have 2y=-17y+13x+232y=17y+13x+23

To write this in slope intercept form, we need to combine the yy terms and isolate them to one side of the equation. First, add 17y17y to both sides of the equation:

2y+17y=-17y +17y+13x+232y+17y=17y+17y+13x+23
19y=13x+2319y=13x+23

The last step is to divide off the yy coefficient:

(19y)/19=(13x+23)/1919y19=13x+2319

Now we have:
y=13/19x+23/19y=1319x+2319

Thus, m=13/19m=1319